From historical data, you know that 50% of students who take Cloudera’s Introduction to Data
Science: Building Recommenders Systems training course pass this exam, while only 25% of
students who did not take the training course pass this exam. You also know that 50% of this
exam’s candidates also take Cloudera’s Introduction to Data Science: Building Recommendations
Systems training course.
What is the probability that any individual exam candidate will pass the data science exam?
A.
3/8
B.
1/4
C.
1/8
D.
1/2
A
X={1:attend training, 0:not attend training}
Y={1:pass the exam, 0:fail the exam}
P(Y=1) = P(Y=1, X=0) + P(Y=1, X=1)
= P(Y=1|X=0)P(X=0) + P(Y=1|X=1) P(X=1)
= 25% * 50% + 50% % 50%
= 1/4 * 1/2 + 1/2 * 1/2
= 3/8
0
0